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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?


Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Sweets in a Box

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Route Product

Age 7 to 11
Challenge Level

Can you see immediately which routes might have large products and which ones small products?
How will you know that you have checked all the routes?
How many routes can you find which use the $5$? What is the product of each one?
How many routes use the $3$? And the $4$?